Details

Time bar (total: 2.5s)

analyze5.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50.1%13
49.9%0%50.1%14

sample25.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify161.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (151.0ms)

IterNodesCost
0479128
1479128

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
0.0b
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
0.0b
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
0.2b
(*.f64 (*.f64 v v) 6)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log_binary64 add-cbrt-cube_binary64
22×associate-*r/_binary64
18×flip3--_binary64 flip--_binary64 sqrt-div_binary64
17×add-sqr-sqrt_binary64
16×pow1_binary64
12×*-un-lft-identity_binary64 frac-times_binary64
11×add-cube-cbrt_binary64
10×cbrt-unprod_binary64 associate-*r*_binary64 prod-exp_binary64
9×associate-*l*_binary64
8×associate-/r/_binary64
7×pow-prod-down_binary64
6×associate-*l/_binary64
4×add-log-exp_binary64 sqrt-prod_binary64
3×cbrt-undiv_binary64 unswap-sqr_binary64 associate-/l*_binary64 times-frac_binary64 div-exp_binary64 *-commutative_binary64
2×difference-of-squares_binary64
1×associate-/r*_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64
Counts
4 → 108
Calls
4 calls:
9.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
12.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
11.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
6.0ms
(*.f64 (*.f64 v v) 6)

series227.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
101.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
54.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
21.0ms
(*.f64 (*.f64 v v) 6)

simplify117.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (83.0ms)

IterNodesCost
049263285
149263285

prune134.0ms

Filtered
88 candidates to 120 candidates (-36.4%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1182120
Fresh101
Picked101
Done000
Total1202122

Merged error: 0b

Counts
122 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
0.0b
(/.f64 (/.f64 4/3 PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
0.2b
(*.f64 (*.f64 v v) 6)
1.0b
(/.f64 4/3 PI.f64)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
40×times-frac_binary64
36×add-sqr-sqrt_binary64
31×*-un-lft-identity_binary64
30×add-cube-cbrt_binary64
25×add-exp-log_binary64 add-cbrt-cube_binary64
16×associate-/l*_binary64
12×flip3--_binary64 flip--_binary64 sqrt-div_binary64
11×pow1_binary64
9×associate-*r*_binary64
8×associate-/r/_binary64 frac-times_binary64
7×cbrt-undiv_binary64 div-exp_binary64
6×cbrt-unprod_binary64 associate-*l*_binary64 prod-exp_binary64
4×pow-prod-down_binary64 associate-/r*_binary64 add-log-exp_binary64 associate-*r/_binary64 div-inv_binary64 sqrt-prod_binary64 associate-*l/_binary64
3×unswap-sqr_binary64
2×clear-num_binary64 frac-2neg_binary64 difference-of-squares_binary64 *-commutative_binary64
1×associate-/l/_binary64
Counts
4 → 132
Calls
4 calls:
9.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
13.0ms
(/.f64 (/.f64 4/3 PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
6.0ms
(*.f64 (*.f64 v v) 6)
3.0ms
(/.f64 4/3 PI.f64)

series166.0ms

Counts
4 → 10
Calls
4 calls:
55.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
93.0ms
(/.f64 (/.f64 4/3 PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
19.0ms
(*.f64 (*.f64 v v) 6)
0.0ms
(/.f64 4/3 PI.f64)

simplify106.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
051473514

prune147.0ms

Filtered
107 candidates to 142 candidates (-32.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1420142
Fresh011
Picked011
Done000
Total1422144

Merged error: 0b

Counts
144 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.f64 4/3 (/.f64 (*.f64 PI.f64 (*.f64 (sqrt.f64 (+.f64 4 (*.f64 (pow.f64 v 4) -36))) (-.f64 1 (pow.f64 v 4)))) (*.f64 (+.f64 1 (*.f64 v v)) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) 6))))))
0.0b
(/.f64 (*.f64 PI.f64 (*.f64 (sqrt.f64 (+.f64 4 (*.f64 (pow.f64 v 4) -36))) (-.f64 1 (pow.f64 v 4)))) (*.f64 (+.f64 1 (*.f64 v v)) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) 6)))))
0.1b
(*.f64 (pow.f64 v 4) -36)
0.2b
(*.f64 (*.f64 v v) 6)

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
64×add-exp-log_binary64
61×add-cbrt-cube_binary64
44×times-frac_binary64
41×associate-/r/_binary64
36×sqrt-div_binary64
33×flip3-+_binary64 flip-+_binary64
32×add-sqr-sqrt_binary64
26×*-un-lft-identity_binary64 add-cube-cbrt_binary64
24×prod-exp_binary64 frac-times_binary64
22×cbrt-unprod_binary64
20×associate-*r/_binary64
19×cbrt-undiv_binary64 div-exp_binary64
14×associate-/r*_binary64
12×associate-*l/_binary64
9×pow1_binary64
8×associate-/l/_binary64 associate-*l*_binary64
6×associate-*r*_binary64 div-inv_binary64
4×add-log-exp_binary64 unswap-sqr_binary64 unpow-prod-down_binary64 associate-/l*_binary64
3×pow-prod-down_binary64 flip3--_binary64 flip--_binary64
2×sqr-pow_binary64 clear-num_binary64 frac-2neg_binary64 *-commutative_binary64
1×pow-to-exp_binary64 pow-exp_binary64
Counts
4 → 165
Calls
4 calls:
24.0ms
(/.f64 4/3 (/.f64 (*.f64 PI.f64 (*.f64 (sqrt.f64 (+.f64 4 (*.f64 (pow.f64 v 4) -36))) (-.f64 1 (pow.f64 v 4)))) (*.f64 (+.f64 1 (*.f64 v v)) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) 6))))))
22.0ms
(/.f64 (*.f64 PI.f64 (*.f64 (sqrt.f64 (+.f64 4 (*.f64 (pow.f64 v 4) -36))) (-.f64 1 (pow.f64 v 4)))) (*.f64 (+.f64 1 (*.f64 v v)) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) 6)))))
5.0ms
(*.f64 (pow.f64 v 4) -36)
6.0ms
(*.f64 (*.f64 v v) 6)

series261.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(/.f64 4/3 (/.f64 (*.f64 PI.f64 (*.f64 (sqrt.f64 (+.f64 4 (*.f64 (pow.f64 v 4) -36))) (-.f64 1 (pow.f64 v 4)))) (*.f64 (+.f64 1 (*.f64 v v)) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) 6))))))
95.0ms
(/.f64 (*.f64 PI.f64 (*.f64 (sqrt.f64 (+.f64 4 (*.f64 (pow.f64 v 4) -36))) (-.f64 1 (pow.f64 v 4)))) (*.f64 (+.f64 1 (*.f64 v v)) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) 6)))))
25.0ms
(*.f64 (pow.f64 v 4) -36)
20.0ms
(*.f64 (*.f64 v v) 6)

simplify97.0ms

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
049608307
149608307

prune344.0ms

Filtered
132 candidates to 177 candidates (-34.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1770177
Fresh000
Picked011
Done011
Total1772179

Merged error: 0b

Counts
179 → 2

regimes15.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05428
15428

end0.0ms

sample539.0ms

Algorithm
intervals
Results
436.0ms8000×body80valid
0.0ms2×body80nan

Profiling

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